12/4x+3=3/x-3

Solution for 12/4x+3=3/x-3 equation:

12/4x+3=3/x-3

We move all terms to the left:

12/4x+3-(3/x-3)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: x-3)!=0

x∈R


We get rid of parentheses

12/4x-3/x+3+3=0

We calculate fractions


12x/4x^2+(-12x)/4x^2+3+3=0

We add all the numbers together, and all the variables

12x/4x^2+(-12x)/4x^2+6=0

We multiply all the terms by the denominator


12x+(-12x)+6*4x^2=0

Wy multiply elements

24x^2+12x+(-12x)=0

We get rid of parentheses

24x^2+12x-12x=0

We add all the numbers together, and all the variables

24x^2=0

a = 24; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·24·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{48}=0$